It does happen - I personally knew a gal who did so about 20-odd years ago, but like you said, it’s rare.
Used a 12 gauge. Messy.
Same thing, a friend of mine killed herself with a shotgun about 15 years ago.
Rare, but not unheard of.
Talk about messy suicides - - I heard of two recently: one guy drilled himself in the heart with a power drill, and another guy sawed off his own head with a table saw.
I had a friend who did so last week.
No easy to deal with.
You always ask: Could I have done something different?